1. State whether 51 is prime or composite. Exercise composite

2. State whether 97 is prime or composite. prime Exercise

3. Write the prime factorization of 90. 2 3 2 5 Exercise

4. Write the prime factorization of 150. 2 3 5 2 Exercise

5. Find the greatest common factor of 90 and 150. 2 3 5 = 30 Exercise

6. multiples of 3 1 x multiples of 4 5 x multiples of 3 multiples of 4 2 x 6 x 3 x 7 x 4 x 8 x 369 12 48 16 15 20 18 24 21 28 24 32

7. Least Common Multiple The least common multiple of two or more numbers is the smallest number that is a multiple of each of the given numbers.

8. List multiples to find the LCM of 10 and 12. The LCM of 10 and 12 is 60. 10: 10, 20, 30, 40, 50, 60, 70… 12: 12, 24, 36, 48, 60, 72, 84… Example 1

9. Using Listing to Find the Least Common Multiple 1.List the multiples of each number. 2.Identify the first common multiple in each list of multiples.

10. List multiples to find the LCM of 8 and 6. 24 Example

11. List multiples to find the LCM of 15 and 36. 180 Example

12. Using Exponential Form to Find the LCM 1.Write the prime factorization of each number in exponential form.

13. Using Exponential Form to Find the LCM 2. Identify all the prime factors, both the common and different prime factors, that appear in the factorizations.

14. Using Exponential Form to Find the LCM 3. Find the product of all the prime factors, using only the highest power of each that appears in any of the factorizations.

15. Find the LCM of 30 and 45. = 90 30: 2 3 5 45: 3 3 5 = 3 2 5 LCM = 2 3 2 5 Example 2

16. Find the LCM of 12, 28, and 75. = 2,100 12: 2 2 3 = 2 2 3 28: 2 2 7 = 2 2 7 LCM = 2 2 3 5 2 7 75: 3 5 5 = 3 5 2 = 4 3 25 7 Example 3

17. Use prime factorizations to find the LCM of 40 and 50. 200 Example

18. Use prime factorizations to find the LCM of 21 and 49. 147 Example

19. Use prime factorizations to find the LCM of 32, 18, and 72. 288 Example

20. Use prime factorizations to find the LCM of 42, 45, and 63. 630 Example

21. LCM of 4x and 4x 2

22. 3ab 2 5a2b5a2b 5a2b5a2b

23. 3y3y 3y3y 4z4z 4z4z

24. Find the LCM of 15x 3 y and 21x 2. LCM = 105x 3 y 15x 3 y: 3 5 x x x y 21x 2 : 3 7 x x 3 5 7 = 105 x 3 and y Example 4

25. Find the LCM of 12ab and 15b 2 c. 60ab 2 c Example

26. Find the LCM of 63x 2 y 3 and 72x 3 y 4. 504x 3 y 4 Example

27. Find the LCM of 8mn 2, 36m 3 n and 9m. 72m 3 n 2 Example

28. Find the LCM of 84r, 21s and 14t. 84rst Example

29. Find the GCF and LCM of 36 and 48. GCF: 12; LCM: 144 Exercise

30. Find the GCF and LCM of 12, 18, and 24. GCF: 6; LCM: 72 Exercise

31. For any two numbers, what would be the least common factor? 1 1 Exercise

32. For any two numbers, what would be the greatest common multiple? Exercise

33. When you reduce fractions such as, are you using an LCM or a GCF? How? 350 400 Exercise

34. When you add fractions such as and to get, are you using an LCM or a GCF? How? 1616 1616 1818 1818 7 24 Exercise